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Finding the Fourth Proportional to 185,673.09, 256,157.10 and 105,082.14

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Solution

The fourth proportional to 185,673.09, 256,157.10 and 105,082.14 is: 144,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,673.09 : 256,157.10 = 105,082.14 : x
  2. Step 2: Convert to fraction form
    185,673.09/256,157.10 = 105,082.14/x
  3. Step 3: Cross multiply
    185,673.09x = 256,157.10 × 105,082.14
  4. Step 4: Simplify right side
    185,673.09x = 26,917,536,244.19
  5. Step 5: Solve for x
    x = 26,917,536,244.19/185,673.09
  6. Step 6: Final answer
    x = 144,972.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.